using System;
using System.Collections.Generic;
using System.Text;

namespace UrbanChallenge.Common.Integration {
	public static class QK61 {
		static readonly double[] xgk = new double[]   /* abscissae of the 61-point kronrod rule */
		{
			0.999484410050490637571325895705811,
			0.996893484074649540271630050918695,
			0.991630996870404594858628366109486,
			0.983668123279747209970032581605663,
			0.973116322501126268374693868423707,
			0.960021864968307512216871025581798,
			0.944374444748559979415831324037439,
			0.926200047429274325879324277080474,
			0.905573307699907798546522558925958,
			0.882560535792052681543116462530226,
			0.857205233546061098958658510658944,
			0.829565762382768397442898119732502,
			0.799727835821839083013668942322683,
			0.767777432104826194917977340974503,
			0.733790062453226804726171131369528,
			0.697850494793315796932292388026640,
			0.660061064126626961370053668149271,
			0.620526182989242861140477556431189,
			0.579345235826361691756024932172540,
			0.536624148142019899264169793311073,
			0.492480467861778574993693061207709,
			0.447033769538089176780609900322854,
			0.400401254830394392535476211542661,
			0.352704725530878113471037207089374,
			0.304073202273625077372677107199257,
			0.254636926167889846439805129817805,
			0.204525116682309891438957671002025,
			0.153869913608583546963794672743256,
			0.102806937966737030147096751318001,
			0.051471842555317695833025213166723,
			0.000000000000000000000000000000000
		};

		/* xgk[1], xgk[3], ... abscissae of the 30-point gauss rule. 
			 xgk[0], xgk[2], ... abscissae to optimally extend the 30-point gauss rule */

		static readonly double[] wg = new double[]   /* weights of the 30-point gauss rule */
		{
			0.007968192496166605615465883474674,
			0.018466468311090959142302131912047,
			0.028784707883323369349719179611292,
			0.038799192569627049596801936446348,
			0.048402672830594052902938140422808,
			0.057493156217619066481721689402056,
			0.065974229882180495128128515115962,
			0.073755974737705206268243850022191,
			0.080755895229420215354694938460530,
			0.086899787201082979802387530715126,
			0.092122522237786128717632707087619,
			0.096368737174644259639468626351810,
			0.099593420586795267062780282103569,
			0.101762389748405504596428952168554,
			0.102852652893558840341285636705415
		};

		static readonly double[] wgk = new double[]  /* weights of the 61-point kronrod rule */
		{
			0.001389013698677007624551591226760,
			0.003890461127099884051267201844516,
			0.006630703915931292173319826369750,
			0.009273279659517763428441146892024,
			0.011823015253496341742232898853251,
			0.014369729507045804812451432443580,
			0.016920889189053272627572289420322,
			0.019414141193942381173408951050128,
			0.021828035821609192297167485738339,
			0.024191162078080601365686370725232,
			0.026509954882333101610601709335075,
			0.028754048765041292843978785354334,
			0.030907257562387762472884252943092,
			0.032981447057483726031814191016854,
			0.034979338028060024137499670731468,
			0.036882364651821229223911065617136,
			0.038678945624727592950348651532281,
			0.040374538951535959111995279752468,
			0.041969810215164246147147541285970,
			0.043452539701356069316831728117073,
			0.044814800133162663192355551616723,
			0.046059238271006988116271735559374,
			0.047185546569299153945261478181099,
			0.048185861757087129140779492298305,
			0.049055434555029778887528165367238,
			0.049795683427074206357811569379942,
			0.050405921402782346840893085653585,
			0.050881795898749606492297473049805,
			0.051221547849258772170656282604944,
			0.051426128537459025933862879215781,
			0.051494729429451567558340433647099
		};

		public static void QK61Rule(QuadFunction f, double a, double b, out double result, out double abserr, out double resabs, out double resasc) {
			double[] fv1 = new double[31];
			double[] fv2 = new double[31];
			QuadKronrod.IntegrationQK(31, xgk, wg, wgk, fv1, fv2, f, a, b, out result, out abserr, out resabs, out resasc);
		}
	}
}
